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One of the most important results in classical measure theory is the Radon–Nikodym theorem. In the present chapter we give the standard proof of this remarkable theorem. Also, in the sequel we will touch upon nontrivial logical interrelations between the Radon–Nikodym theorem and some other statements of mathematical analysis.

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The Radon–Nikodym Theorem

  • 章节

  • 发表日期：

    2025年

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  • Alexander Kharazishvili

摘要

One of the most important results in classical measure theory is the Radon–Nikodym theorem. In the present chapter we give the standard proof of this remarkable theorem. Also, in the sequel we will touch upon nontrivial logical interrelations between the Radon–Nikodym theorem and some other statements of mathematical analysis.